# Disicositetrintercepted prismatoicositetrachoron

The **disicositetrintercepted prismatoicositetrachoron**, or **dinpi**, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 24 small cubicuboctahedra, 24 small rhombicuboctahedra, and 96 triangular prisms. Four truncated cubes, four small cubicuboctahedra, four small rhombicuboctahedra, and four triangular prisms join at each vertex.

Disicositetrintercepted prismatoicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dinpi |

Elements | |

Cells | 24 tic, 24 socco, 24 sirco, 96 trip |

Faces | 384 triangles, 432 squares, 144 octagons |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Ipindi |

Abstract & topological properties | |

Euler characteristic | 360 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

## Vertex coordinatesEdit

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

## External linksEdit

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#529).

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